Braiding for Categorical Algebras and Crossed Modules of Algebras II: Leibniz Algebras

被引：1
|
作者：
Fernandez-Farina, Alejandro [1 ,2 ]
Ladra, Manuel [1 ,2 ]
机构：
[1] Univ Santiago de Compostela, Dept Matemat, Santiago De Compostela 15782, Spain
[2] Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela 15782, Spain
来源：
FILOMAT | 2020年 / 34卷 / 05期
关键词：
Lie algebra; Leibniz algebra; crossed module; braided internal category; Loday-Pirashvili category; non-abelian tensor product;
D O I：
10.2298/FIL2005443F
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the category of braided categorical Leibniz algebras and braided crossed modules of Leibniz algebras, and we relate these structures with the categories of braided categorical Lie algebras and braided crossed modules of Lie algebras using the Loday-Pirashvili category.
引用
收藏
页码：1443 / 1469
页数：27
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